In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed. The car has a mass m = 268 kg and moves
with speed v = 16.24 m/s. The loop-the-loop has a radius of R = 10.5 m. What is the magnitude of the normal force on the care when it is at the bottom of the circle? (But as the car is accelerating upward.)
2) What is the magnitude of the normal force on the car when it is at the side of the circle (moving vertically upward)?
3) What is the magnitude of the normal force on the car when it is at the top of the circle?
Before we go through the questions, we need to calculate and determine some values first.
r = 11.5 m <span>m = 280 kg </span> <span>Centripetal force = m x v^2/r = 280 x (17.1^2/11.5) = 7119.55 N </span> 1) What is the magnitude of the normal force on the care when it is at the bottom of the circle.
<span>Centripetal force + mg = 7119.55 + (280 x 9.8) = 9863.55 N </span>
<span>2) What is the magnitude of the normal force on the car when it is at the side of the circle. </span>
<span>Centripetal force = 7119.55 N </span>
<span>3) What is the magnitude of the normal force on the car when it is at the top of the circle. </span>
<span>Centripetal force - mg = 7119.55 - (280 x 9.8) = 4375.55 N </span>
<span>4) What is the minimum speed of the car so that it stays in contact with the track at the top of the loop. </span>
Ratio scale is a quantitative scale used for variable measurement which allows any researcher to compare the intervals of the measured parameter.
Ratio scale is the 4th level of measurement having a zero point or character of origin.
Ratio scale possesses most of the features of the other three variable measurement scale i.e ordinal, nominal and interval scales.
Nominal variables are used to name, or label a series of values.
Ordinal scales provide a sufficient amount of information about the order of choices, such as one would be able to understand from using a customer satisfaction survey, while the interval scales give us the order of values and also about the ability to quantify the difference between each one.
